Pith Number

pith:EIUZYMRG

pith:2026:EIUZYMRGB7LN37WOZOMELWM755

not attested not anchored not stored refs pending

Regularized Variational and Spectral Log-Density-Ratio Estimation in the Gaussian Location Model

Francis Bach (SIERRA)

arxiv:2607.01895 v1 · 2026-07-02 · cs.LG · math.OC · math.ST · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIUZYMRGB7LN37WOZOMELWM755}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-03T01:17:32.764263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22299c32260fd6ddfececb9845d99fef51b8995f6ef05b36abd72782e1c85037

Aliases

arxiv: 2607.01895 · arxiv_version: 2607.01895v1 · doi: 10.48550/arxiv.2607.01895 · pith_short_12: EIUZYMRGB7LN · pith_short_16: EIUZYMRGB7LN37WO · pith_short_8: EIUZYMRG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EIUZYMRGB7LN37WOZOMELWM755 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 22299c32260fd6ddfececb9845d99fef51b8995f6ef05b36abd72782e1c85037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d57f0b2038b2653b96302bc563d22effdaccab2f4c1abd70b63d6861d2ceaf",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-02T08:46:52Z",
    "title_canon_sha256": "fbca1b3a9854ad0124bb3647a92c320e9997dd7269acb5f59294cb594c96d8b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01895",
    "kind": "arxiv",
    "version": 1
  }
}